I believe the answer is that Spencer left after 9 days.
Please Help! locks in 30 min! Will give brainlest!
Answer:
First option [tex]0, \frac\pi2, \pi, \frac{3\pi}2[/tex]
Step-by-step explanation:
first of all, let's replace the lhs with the equivalent in sine (from the pythagoran identiy on sine and cosine)
[tex]1-sin^2\theta =1-sin\theta[/tex]
At this point we take 1 from both side, and change signs just out of convenience.
[tex]\sin^2\theta =sin\theta[/tex]
Now we have 2 options. If [tex]sin \theta =0 \leftrightarrow \theta = k\pi[/tex] the equation is verified, and we got two solutions [tex]\theta =0; \theta = \pi[/tex]. Else, we can divide by [tex]sin\theta[/tex] and we get
[tex]sin\theta = 1 \leftrightarrow \theta = \frac\pi2+k\pi[/tex].
We can add everything together and write
[tex]\theta = k\frac\pi2; k\in\{0,1,2,3\}[/tex] or, in our case, the first answer.
find the average speed:distance=612 miles time=12 hours
Answer:
73 and 44 hours
Step-by-step explanation:
correct if im wrong
Find the L.C.M of the given pair of numbers using the prime factors method. 70 and 84
Answer:
420
Step-by-step explanation:
Prime Number: a whole number greater than 1 that cannot be made by multiplying other whole numbers
First prime numbers: 2, 3, 5, 7, 11, 13, 17, ...
Prime Factorization: prime numbers that multiply together to make the original number.
LCM = least common multiple: smallest positive number that is a multiple of two or more numbers
Start by finding the prime factorization of each number.
Start with the smallest prime number: 2
70 ÷ 2 = 35
35 is not divisible by 2 or 3, but is divisible by 5:
35 ÷ 5 = 7
7 is a prime number, so cannot be divided any further
So 70 = 2 × 5 × 7
Start with the smallest prime number: 2
84 ÷ 2 = 42
Again divide by 2:
42 ÷ 2 = 21
Now divide by 3:
21 ÷ 3 = 7
So 84 = 2 × 2 × 3 × 7
Write each number as a product of primes, matching primes vertically when possible
84 = 2 × 2 × 3 × 7
70 = 2 × 5 × 7
Now bring down the primes in each column. The LCM is the product of these factors.
LCM = 2 × 2 × 3 × 5 × 7 = 420
help please!! 10 points!
an intercepted arc has a length of 19 yards. If the radius is 4 yards, find the measure of the central angle in radians and degrees.
Answer:
[tex]s=r\theta\\\theta=s/r\\\theta=19/4\\\theta=4.75[/tex]
Step-by-step explanation:
There is a formula that relates the arc length of a circle of radius, r, to the central angle, [tex]\theta[/tex] in radians.
[tex]s=r\theta[/tex]
Laura is walking quickly and finds that she travels 54 feet in a span of 12 seconds. Which of the following is the speed at which Laura is walking? (1) 4.5 feet per second
(2) 4.75 feet per second
(3) 5.25 feet per second
(4) 5.5 feet per second
Answer:
(1) 4.5 feet per second
Step-by-step explanation:
Given;
distance traveled by Laura, d = 54 feet
time to taken for Laura to cover this distance, t = 12 seconds
Laura's speed is given by the following equation;
speed = distance / time
Laura's speed = 54 ft / 12 s
Laura's speed = 4.5 feet per second
Therefore, the speed with which Laura is walking is 4.5 feet per second.
Please help me asap !!
Answer:
3.5
Step-by-step explanation:
(42 - 14)/(12 - 4) = 28/8 = 7/2 = 3.5
Help help help help
Answer:
its the 3 one
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
Rotates 270 Degrees clockwise and translates left and up.
Is 4.25 a rational number
Answer:
Yes 4.25 is a rational number
Answer: Yes, 4.25 is a rational number
Any terminating decimal can be written as a fraction of two integers.
In this case, 4.25 = 4.25/1.00 = 425/100
Find the sine ratio of angle -. Hint: Use the slash symbol (/ ) to represent the fraction
par, and enter the fraction with no spaces.
Answer:
4/5
Step-by-step explanation:
The sine ratio is defined as the opposite leg/hypotenuse. The opposite leg is 4 and the hypotenuse is 5.
Please help me ASAP
Its not hard im just tired
Answer:
Step-by-step explanation:
= 7.4z + 8z - 12
= (7.4 + 8)z - 12
= 15.4z - 12
How do you Simplify 4c+c+6c
Answer:
11c
Step-by-step explanation:
They are like terms meaning they all have the same variable you can just add them.
4c+c+6c
11c
Answer:
11c
Explanation:
We are given the expression:
4c+c+6c
We can simplify by combining like terms. All three terms have a “c” so they can all be combined.
Factor out a “c” and add the coefficients.
4c+1c+6c
(4+1+6)c
(11)c
11c
4c+c+6c simplified is 11c
1) Suppose Emily randomly turns on 2 of the 7 computers. Which
expression could you use to determine the probability that both
computers will be infected with a virus?
A 2/7*1/6
B) 1/7* 1/7
C)2/7*1/6
D)2/7*5/7
Help me please
Answer:
b jdjjsgd
Step-by-step explanation:
edge 2020hianhisis
What is 94.239 rounded to the nearest thousandth?
94.239 is already rounded to the nearest thousand as the no. of digits after the decimal place is three.
What is rounding off of numbers?We round off numbers to make them easier to remember and it also keeps their value approximately to the place it has been rounded off.
To round off any number to any place we'll look for the digit next to that place and if it is equal to or greater than 5 we'll add one to the previous digit and make all the digits after it zeroes and if the digit is less than 5 we do not add one to the preceding digit and simply make all the digit after it to zeroes.
Given, 94.239 rounded to the nearest thousandth it is already rounded to the nearest thousand the no. of digits after the decimal place is three.
learn more about rounding off numbers here :
https://brainly.com/question/1285194
#SPJ2
Question 4 of 5
Select the correct answer.
Sebastian randomly surveyed 25 people in his neighborhood to find out which electric company they use. In his survey, he found that
16% of the sample use Reliable Energy
What would most likely happen if he decided to randomly survey 50 people instead?
A. There is not enough information to determine how the sample proportion would be affected.
B.The sample proportion would less closely model the population proportion.
C. The sample proportion would not be affected.
D The sample proportion would more closely model the population proportion.
Answer:
D The sample proportion would more closely model the population proportion.
Step-by-step explanation:
The more people surveyed, the more accurate the information.
The price of a calculator depends on the number of these calculators you buy.
The table gives information about the prices of this calculator.
Number of calculators
Price of each calculator
1-29
£3.85
30-99
£3.65
100 or more
£3.49
Mr Edwards wants to buy some of these calculators.
He has £200 to spend.
Work out the greatest number of calculators he can buy.
So assuming he bought the entire 29 calculators he would've spent:
[tex]29 \times 3.85 = 111.65[/tex]
That leaves him with,
[tex]200 - 111.65 = 88.35[/tex]
Looking back at the prices i'm assuming there is no way he can reach 99 calculators with what he has left, so i will establish an equation that defines the number of calculators he can buy with the remaining £88.35.
Let c be the number of calculators he can still buy. Note that we are working in the 30-99 range so each calculator costs £3.65
[tex]88.35 = 3.65c[/tex]
[tex]c = \frac{88.35}{3.65} = 24.2[/tex]
So now we know he can still buy 24 calculators in addition to the 29 calculators, so in total he bought,
[tex]29 + 24 = 53[/tex]
Your answer would be 53 calculators.
What about the 0.2 remaining 'calculators',well that would be left over money which aren't sufficient to purchase an additional calculator+we were working with the 30-99 range meaning each one costs £3.65
[tex]0.2 \times 3.65 = 0.73[/tex]
So he bought 53 calculators and has 0.73£ remaining.
Hope this helps :)
2(4x - 8y) - 9x + 7 as a simplifying expression.
Answer:
2(4x - 8y) - 9x + 7
8x - 16y - 9x + 7
-1x - 16y + 7
The 6 games Kelly's team played took a total of 7 hours. How many minutes total did they play softball?
How many ounces are in 43 pounds?
Group of answer choices
A bag contains 15 marbles. Six are red, three are blue, and the rest are green or yellow. If the ratio of green marbles to blue marbles is 2 to 3, what is the ratio of yellow marbles to red marbles?
Question 2 options:
3/6
4/6
4/15
6/4
ill give brain for the first one
Answer:
3/6
Step-by-step explanation:
15 - (6+3) = 6
6 ÷ 2 = 3
number of red is 6
and green is 3
3/6
find the difference between the actual and estimated values of 55 - 21
Answer:
Actual: 34 Estimated: 40
Step-by-step explanation:
The difference between these values is that the actual difference is more accurate. If you're asking for the difference as in subtracting, then 7 is the answer. Hope this helps :)
Answer:
6
Step-by-step explanation:
Actual values = 55 - 21
= 34
Estimated values = 60 - 20 = 40
Difference between actual and estimated values = 40 - 34 = 6
Which equation represents a line with slope
of 2/3 and y-intercept -6?
Answer:
[tex]y=\frac{2}{3} x-6[/tex]
Step-by-step explanation:
6x8(1+1)-3+4 SUPER HARD QUESTION PLEASE HELP
Answer:
97
Step-by-step explanation:
PEMDAS
6 * 8 * (1 + 1) - 3 + 4
Parenthesis first!
6 * 8 * 2 - 3 + 4
Multiplication/Division {Left to right}
48 * 2 - 3 + 4
96 - 3 + 4
Addition/Subtraction {Left to right}
93 + 4
97
In the figure below,
What is the value of x?
Answer: 16 degrees
Step-by-step explanation:
(3x - 18) = 66
Because vertically opposite angles are equal
66 - 18 = 48
48 divided by 3 = 16
I need help please please
Answer:
translation then reflection
Step-by-step explanation:
because to get 2 it is moved then to get 3 it is reflected (please try doing these yourself first!)
Answer:
D
Step-by-step explanation:
Translates left and down then reflects over y.
1 What is the remainder when 245 is divided by 9?
2 A bridge in the park is 84 feet long. The length of the bridge is 6 times the width of the bridge. How wide is the bridge?
3 Dylan gets home from school at 4:05 p.m. He spends 20 minutes on his homework and 15 minutes practicing the drums. How many minutes does he have left before leaving for soccer practice at 5:15 p.m.?
Answer:
245÷9 =0 witt remainder 9
In Ty's CD collection, 3/8 of the CDs are hip-hop and 1/8 of the CDs are pop. What fraction of his CDs are either hip-hop or pop?
Can you help me please
Answer:
No, the slope's are not the same
Short-cut explanation:
Simply count the spaces between the two lines at the very top then compare to the number of space between at the very bottom of the graph.
There are 2 spaces between the two lines at the top. There seems to be 1 and 1/2 spaces at the very bottom.
[tex]2\neq 1.5[/tex] , therefore, not parallel.
If they are the same, then it is parallel. Although, in this case, it is not(Shown on the graph).
Answer:
Basic Concept:
A criterion for parallel lines is that they should have equal slopes. If the slopes of these lines is equal, these lines are parallel and are intersecting if the slopes are not equal
let the line on the left be 'line 1' and the line on the right be 'line 2'
Slope of Line 1:
We are given 2 points on the line and we will use them to get its slope
We know that the slope of a line is the change in its y-ordinate divided by its change in x - ordinate
The points given are: (-3 , -5) and (0 , 4)
Change in x:
The change in x of these 2 coordinates can be calculated by subtracting their x- ordinates
Change in x (Δx) = x1 - x2
Δx = -3 - 0
Δx = -3
Change in y:
The change in y of these 2 can similarly be calculated by subtrating the y-ordinates
change in y (Δy) = y1 - y2
Δy = -5 - 4
Δy = -9
Slope of the line:
Since the slope = Δy / Δx
Replacing the known values:
Slope = -9 / -3
Slope = 3
Therefore, the slope of 'line 1' is 3
Slope of Line 2:
We are given 2 points on the line and we will use them to get its slope
We know that the slope of a line is the change in its y-ordinate divided by its change in x - ordinate
The points given are: (0 , -6) and (4 , 4)
Change in x:
The change in x of these 2 coordinates can be calculated by subtracting their x- ordinates
Change in x (Δx) = x1 - x2
Δx = 0 - (4)
Δx = -4
Change in y:
The change in y of these 2 can similarly be calculated by subtrating the y-ordinates
change in y (Δy) = y1 - y2
Δy = -6 - 4
Δy = -10
Slope of the line:
Since the slope = Δy / Δx
Replacing the known values:
Slope = -10 / -4
Slope = 5/2
Therefore, the slope of 'line 2' is 5/2
Conclusion:
We have calculated the slope of both the lines.
now, we will compare the slopes to find out if the lines are parallel or not
Slope 1 = 3
Slope 2 = 5/2
Since the slopes are NOT equal, the lines are not parallel
simplify the surd square root 12 x square root 8
The simplification of square root 12 x is [tex]\mathbf{2 \sqrt{3x}}[/tex] and the square root of 8 is [tex]\mathbf{2 \sqrt{2}}[/tex]
What is Surds?Surds is a mathematical expression of numbers in square roots that cannot be changed to real numbers but be further simplified into irrational numbers.
From the given information.
The simplification of [tex]\mathbf{\sqrt{12x}}[/tex] is:
[tex]\mathbf{= \sqrt{4 \times 3x }} \\ \\ \mathbf{= 2\sqrt{ 3x }}[/tex]
The simplification of the [tex]\mathbf{\sqrt{8 }}[/tex] is determined by factoring 8:
i.e.
[tex]\mathbf{= \sqrt{4 \times2 }} \\ \\ \mathbf{= 2\sqrt{ 2}}[/tex]
Learn more about surds here:
https://brainly.com/question/24700530
( THE SUM OF THE MEASURES OF THE ANGLES BELOW IS 180* ) I will give brainlst for whoever gets this right and fills it out
Answer:
2x-10+x+x+10=180, or 4x=180
Step-by-step explanation:
So since the total is 180, you add them all up like an equation.
So,
2x-10+x+x+10
Combine like terms
4x=180
x=45
Then plug it back in to the equations.
x=45
(2x-10)=80
(x+10)=55